An object moves along the x axis, subject to the potential energy shown in the figure. (Figure 1) The object has a mass of 2.4 kg and starts at rest at point A. A) What is the object's speed at point B? B) What is the object's speed at point C? C) What is the object's speed at point D?

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An object moves along the x axis, subject to the potential energy shown in the figure. (Figure 1) The object has a mass of 2.4 kg and starts at rest at point A.

A) What is the object's speed at point B?

B) What is the object's speed at point C?

C) What is the object's speed at point D?

D) What are the turning points for this object? Check all that apply.

Point A

Point B

Point C

Point D

Point E

### Diagram Explanation

The image depicts a graph of potential energy \( U \) (in joules) versus position \( x \) (in meters). The curve represents the variation of potential energy along a specific path.

#### Key Points on the Graph:

- **Vertical Axis (U):** Represents potential energy, ranging from 2.0 J to 10.0 J.
- **Horizontal Axis (x):** Represents position, ranging from 0 m to 5.0 m.

#### Notable Points on the Curve:

- **Point A (0.0 m, 10.0 J):** The potential energy starts at 10.0 J. This is a high-energy point.
- **Point B (2.0 m, ~2.0 J):** The curve dips to a minimum, representing a low potential energy of about 2.0 J.
- **Point C (3.0 m, ~6.0 J):** The potential energy increases again, reaching around 6.0 J.
- **Point D (4.0 m, ~5.0 J):** A slight decrease in potential energy is observed, down to about 5.0 J.
- **Point E (5.0 m, higher than 8.0 J):** The potential energy rises once more, exceeding 8.0 J as the curve continues upward.

#### Description:

The graph demonstrates a dynamic potential energy landscape, where potential energy decreases to a minimum at Point B and then ascends through Points C and D, reaching a higher level at Point E. This type of graph is commonly used in physics to illustrate energy changes along a path and may represent concepts such as energy conservation, potential wells, or barriers in physical systems.
Transcribed Image Text:### Diagram Explanation The image depicts a graph of potential energy \( U \) (in joules) versus position \( x \) (in meters). The curve represents the variation of potential energy along a specific path. #### Key Points on the Graph: - **Vertical Axis (U):** Represents potential energy, ranging from 2.0 J to 10.0 J. - **Horizontal Axis (x):** Represents position, ranging from 0 m to 5.0 m. #### Notable Points on the Curve: - **Point A (0.0 m, 10.0 J):** The potential energy starts at 10.0 J. This is a high-energy point. - **Point B (2.0 m, ~2.0 J):** The curve dips to a minimum, representing a low potential energy of about 2.0 J. - **Point C (3.0 m, ~6.0 J):** The potential energy increases again, reaching around 6.0 J. - **Point D (4.0 m, ~5.0 J):** A slight decrease in potential energy is observed, down to about 5.0 J. - **Point E (5.0 m, higher than 8.0 J):** The potential energy rises once more, exceeding 8.0 J as the curve continues upward. #### Description: The graph demonstrates a dynamic potential energy landscape, where potential energy decreases to a minimum at Point B and then ascends through Points C and D, reaching a higher level at Point E. This type of graph is commonly used in physics to illustrate energy changes along a path and may represent concepts such as energy conservation, potential wells, or barriers in physical systems.
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